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Finding the Fourth Proportional to 201,026.40, 277,414.38 and 110,382

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Solution

The fourth proportional to 201,026.40, 277,414.38 and 110,382 is: 152,326.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,026.40 : 277,414.38 = 110,382 : x
  2. Step 2: Convert to fraction form
    201,026.40/277,414.38 = 110,382/x
  3. Step 3: Cross multiply
    201,026.40x = 277,414.38 × 110,382
  4. Step 4: Simplify right side
    201,026.40x = 30,621,554,093.16
  5. Step 5: Solve for x
    x = 30,621,554,093.16/201,026.40
  6. Step 6: Final answer
    x = 152,326.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.